Phenomenological consequences of a geometry in the cotangent bundle

Relancio, J.J. (Universidad de Zaragoza) ; Liberati, S.

Resumen: A deformed relativistic kinematics can be understood within a geometrical framework through a maximally symmetric momentum space. However, when considering this kind of approach, usually one works in a flat spacetime and in a curved momentum space. In this paper, we will discuss a possible generalization to take into account both curvatures and some possible observable effects. We will first explain how to construct a metric in the cotangent bundle in order to have a curved spacetime with a nontrivial geometry in momentum space and the relationship with an action in phase space characterized by a deformed Casimir. Then, we will study within this proposal two different space-time geometries. In the Friedmann-Robertson-Walker universe, we will see the modifications in the geodesics (redshift, luminosity distance, and geodesic expansion) due to a momentum dependence of the metric in the cotangent bundle. Also, we will see that when the spacetime considered is a Schwarzschild black hole, one still has a common horizon for particles with different energies, differently from a Lorentz invariance violation case. However, the surface gravity computed as the peeling off of null geodesics is energy dependent.

Idioma: Inglés

DOI: 10.1103/PhysRevD.101.064062

Año: 2020

Publicado en: Physical Review D 101, 6 (2020), 064062 1-15
ISSN: 2470-0010

Factor impacto JCR: 5.296 (2020)

Categ. JCR: PHYSICS, PARTICLES & FIELDS rank: 6 / 29 = 0.207 (2020) - Q1 - T1
Categ. JCR: ASTRONOMY & ASTROPHYSICS rank: 15 / 68 = 0.221 (2020) - Q1 - T1

Factor impacto SCIMAGO: 1.887 - Physics and Astronomy (miscellaneous) (Q1)

Financiación: info:eu-repo/grantAgreement/EUR/COST-Action/CA18108
Financiación: info:eu-repo/grantAgreement/ES/DGIID-DGA/2015-E24-2
Financiación: info:eu-repo/grantAgreement/ES/MINECO-FEDER/PGC2018-095328-B-I00

Tipo y forma: Artículo (Versión definitiva)

Área (Departamento): Área Física Teórica (Dpto. Física Teórica)